On extension theory in \(L^ 2\)-spaces
type: Item
instance of: scholarly article
title: On extension theory in \(L^ 2\)-spaces
zbMATH Open document ID: 0833.31005
DOI: 10.1007/BF01071698
published in: Potential Analysis
publication date: 1996-03-12T00:00:00Z
review text: In the context of singular perturbations of selfadjoint operators in \(L^2\)-spaces, some results have been obtained based on nonstandard analysis. In this paper, the author, using only standard analysis, develops an extension theory in \(L^2\)-spaces in a locally compact separable metric space to obtain the set of all selfadjoint extensions of some operators \(H\) (an example is the Laplacian in \(\mathbb{R}^n\)) restricted to the complement of a compact set \(N\) (which in the classical potential theory can be a closed set of capacity \(\geq 0\)).
Mathematics Subject Classification ID: 31B25
Mathematics Subject Classification ID: 47A20
zbMATH DE Number: 763782
zbMATH Keywords: singular perturbations of selfadjoint operators
zbMATH Keywords: selfadjoint extensions
author: J. Brasche
reviewed by: Victor Anandam
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 763782